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NCB Deposit #47

Limits: A Basic Calculus Skill

Three Exercises for Pre-Calculus and Calculus Students

Curve Reading Practice

The sky is the limit.

Exercise One
Study the curve for a few moments and then answer the questions about each of the following:

Using the graph of  f  as shown on the left, estimate:

1.    The value of  is 

2.    The value of  is 

3.    The value of  is 

4.    The value of  is 



Exercise Two


Using the graph of f as shown on the left, estimate:

1.    The value of   

2.    The value of   

3.    The value of   

4.    The value of   

5.    The value of   



Exercise Three

Using the graph of  f  as shown on the left.

1.    The value of  f(0) is   

2.    The value of  f(-3) is 

3.    The value of  f(-6) is 

4.    There are how many "zeros"? 

5.    What is the maximum value of  f ?

6.    How many times does a line  y = 1/2   
      
intersect the graph?           

7.    How many times does a line  y = 3
      
intersect the graph?           

8.    What is the domain of  f ?  

9.    Choose an interval when the function
       is decreasing.
    



A Great Link for Limits Practice:
Finding limits algebraically:

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/limconsoldirectory/LimConSol.html

If all 18 questions are answered, a score
will appear in a pop-down window.


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